A167448 Smallest number with n distinct positive cubic exponents in its prime factorization.

1, 2, 768, 4403012567040, 384637545508886260255243527782400000000

Offset: 0

Author

Matthew Vandermast, Nov 09 2009

Keywords

• nonn

Examples

			a(2)=768, which has a prime factorization of 2^8 * 3^1.
		

Crossrefs

Subsequence of A025487.

Programs

Mathematica

Table[Product[Prime[k]^((n - k + 1)^3), {k, 1, n}], {n, 0, 5}] (* Vaclav Kotesovec, Aug 10 2021 *)

Formula

a(n) = Product_{k=1..n} prime(k)^((n-k+1)^3).